Search a number
-
+
131426900 = 225211163733
BaseRepresentation
bin1111101010101…
…10101001010100
3100011022011210222
413311112221110
5232121130100
621012533512
73154052543
oct765265124
9304264728
10131426900
1168206a80
1238021298
13212c80c7
141365215a
15b811485
hex7d56a54

131426900 has 72 divisors (see below), whose sum is σ = 313459104. Its totient is φ = 47433600.

The previous prime is 131426891. The next prime is 131426903. The reversal of 131426900 is 9624131.

131426900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1314269002 = 34546060087220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131426900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131426903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178934 + ... + 179666.

Almost surely, 2131426900 is an apocalyptic number.

131426900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156729552).

131426900 is an abundant number, since it is smaller than the sum of its proper divisors (182032204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131426900 is a wasteful number, since it uses less digits than its factorization.

131426900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 131426900 is about 11464.1571866405. The cubic root of 131426900 is about 508.4263940227.

The spelling of 131426900 in words is "one hundred thirty-one million, four hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 163 220 275 326 550 652 733 815 1100 1466 1630 1793 2932 3260 3586 3665 4075 7172 7330 8063 8150 8965 14660 16126 16300 17930 18325 32252 35860 36650 40315 44825 73300 80630 89650 119479 161260 179300 201575 238958 403150 477916 597395 806300 1194790 1314269 2389580 2628538 2986975 5257076 5973950 6571345 11947900 13142690 26285380 32856725 65713450 131426900